There is provided a method of determining an estimate of the velocity of a device in a horizontal or vertical direction, the method comprising obtaining measurements of the acceleration acting on the device in three dimensions; using a first filter and the obtained measurements to estimate acceleration due to gravity; estimating the acceleration acting in a horizontal or vertical direction due to motion of the device using the estimated acceleration due to gravity; integrating the estimate of the acceleration acting in said direction due to motion of the device to give an estimate of velocity in said direction; and using a second filter to remove offset and/or drift from the velocity to give a filtered velocity; wherein at least one of the first filter and second filter is a non-linear filter. An apparatus configured to operate according to the above method is also provided.